Finding the Third Proportional to 304,738 and 456,819
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Solution
The third proportional to 304,738 and 456,819 is: 684,796.77
Step by Step Solution
- Step 1: Write the proportion equation
304,738 : 456,819 = 456,819 : x - Step 2: Convert to fraction form
304,738/456,819 = 456,819/x - Step 3: Cross multiply
304,738x = 456,819 × 456,819 - Step 4: Simplify right side
304,738x = 208,683,598,761 - Step 5: Solve for x
x = 208,683,598,761/304,738 - Step 6: Final answer
x = 684,796.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.